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Stefanie R. Bordeaux
Steve Ingrassia and Molly Rawding
Problems to Ponder provides 28 varied, classroom-ready mathematics problems that collectively span PK12, arranged in order of grade level. Answers to the problems are available online.
Randall E. Groth
Ear to the Ground features voices from various corners of the mathematics education world.
Carole E. Greenes
After reviewing the positive and negative impacts of past frameworks, new curricula, instructional methods, and assessment strategies, the author makes recommendations for the next mathematics education movement.
Kien H. Lim
The hammer-and-nail phenomenon highlights human tendency to approach a problem using a tool with which one is familiar instead of analyzing the problem. Pedagogical suggestions are offered to help students minimize their mathematical impulsivity, cultivate an analytic disposition, and develop conceptual understanding.
Heather West, Emily Elrod, Karen Hollebrands, and Valerie Faulkner
In this editorial, an analysis of articles published in the Mathematics Teacher Educator journal (MTE) from 2012 to 2020, which describes the knowledge base for mathematics teacher educators addressed by MTE authors, is presented. This analysis builds on similar work conducted four years ago (Bieda, 2016). These more recent findings demonstrate that articles focusing on teacher knowledge; mathematical content; student thinking and reasoning; and models of teacher preparation or in-service professional development (PD) have been the most frequently published in MTE. In contrast, a limited number of articles have focused on discourse; diversity, equity, and language; technology; and methods of research. This examination allows us to assess as a community where we were, where we are, and where we might go in the future.
The Asked & Answered department shares excerpts from discussion threads on the online MyNCTM community. In this issue, featured threads highlight responses to members' questions related to enrichment and differentiation in the elementary grades, equivalent equations in the middle grades, and assessment retakes in high school.
Jerome A. White
Inspired by the “Batman Equation” of 2011, this article presents a challenging and engaging process for graphing complicated designs from just a single parametric equation pair. Reinforces numerous analytic geometry skills. Works in popular graphing software such as Desmos or GeoGebra, or even graphing calculators.
Crystal Kalinec-Craig and Rose Ann Robles
The article describes how one fifth-grade teacher helped her students to exercise their Rights of the Learner (e.g., to be confused; to claim a mistake; to speak, listen, and be heard; and to write, do, and represent what makes sense) as they learned to graph and interpret non-linear data.